Find the Derivative of the Function and Simplify Your Answer $y = \cos ^ { 2 } x$

question 7

Multiple Choice

Find the derivative of the function and simplify your answer by using the trigonometric identities $y = \cos ^ { 2 } x$

• A) \(- 2 \cos ^ { 2 } x \sin ^ { 2 } x = 2 \sin 2 x\)
• B) \(2 \cos x \sin x = \sin 2 x\)
• C) \(- 2 \cos x \sin x = - \sin 2 x\)
• D) \(2 \cos ^ { 2 } x \sin x = 2 \sin x\)
• E) \(2 \cos ^ { 2 } x \sin ^ { 2 } x = 2 \sin 2 x\)

---

Definitions:

Emotional Intelligence

The ability to recognize, understand, and manage one's own emotions as well as the emotions of others, facilitating interpersonal communication and empathy.

Constructive Conflict

A type of conflict that is healthy, cooperative, and aimed at improving mutual understanding and outcome through effective communication.

Relationship Conflict

This term describes conflicts in professional environments that arise from interpersonal disagreements, tensions, or misunderstandings.

Manager's Time

How managers allocate their work hours among various tasks and responsibilities, impacting their effectiveness and the performance of their team.